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Finding the Fourth Proportional to 906.41, 1,358.96 and 289.76

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Solution

The fourth proportional to 906.41, 1,358.96 and 289.76 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.41 : 1,358.96 = 289.76 : x
  2. Step 2: Convert to fraction form
    906.41/1,358.96 = 289.76/x
  3. Step 3: Cross multiply
    906.41x = 1,358.96 × 289.76
  4. Step 4: Simplify right side
    906.41x = 393,764.01
  5. Step 5: Solve for x
    x = 393,764.01/906.41
  6. Step 6: Final answer
    x = 434.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.